2019/10/31 by Michael Kewming, M J Kewming, Sally Shrapnel +3 · 1 citation
Computer Science · Physics and Astronomy · #Adjacency matrix #Dissipation #Energy (signal processing) #Homodyne detection #Ising model #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #Schrödinger's cat #Spectrum (functional analysis) #quant-ph
paper · pdf · doi:10.1088/1367-2630/ab7255
7 pages, 3 figures
openalex created_date 2019/10/25 · arxiv created 2020/02/03 · openalex publication_date 2020/02/03 · arxiv updated 2020/02/05 · openalex updated_date 2026/08/05
Abstract In this article we present a full description of the quantum Kerr Ising model—a linear optical network of parametrically pumped Kerr nonlinearities. We consider the non-dissipative Kerr Ising model and, using variational techniques, show that the energy spectrum is primarily determined by the adjacency matrix in the Ising model and exhibits highly non-classical cat like eigenstates. We then introduce dissipation to give a quantum mechanical treatment of the measurement process based on homodyne detection via the conditional stochastic Schrodinger equation. Finally, we identify a quantum advantage in comparison to the classical analogue for the example of two anti-ferromagnetic cavities.